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A precise Vitali theorem for Lebesgue measure. (English) Zbl 0364.28003


MSC:

28A15 Abstract differentiation theory, differentiation of set functions
26A42 Integrals of Riemann, Stieltjes and Lebesgue type
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
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References:

[1] De Guzman, M.: Differentiation of integrals in ? N . Lecture Notes in Mathematics 481. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0327.26010
[2] Saks, S.: Theory of the integral. 2nd ed. Warszawa: Monografie Matematyczne 1937 · Zbl 0017.30004
[3] Topsøe, F.: On the Glivenko-Cantelli theorem. Z. Wahrscheinlichkeitstheorie verw. Geb.14, 239-250 (1970) · Zbl 0185.46701 · doi:10.1007/BF01111419
[4] Topsøe, F.: Packings and coverings with balls in finite dimensional normed spaces. Lecture Notes in Mathematics 541. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0345.52010
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